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Finding the Fourth Proportional to 4,646.35, 6,962.23 and 2,448.42

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Solution

The fourth proportional to 4,646.35, 6,962.23 and 2,448.42 is: 3,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.35 : 6,962.23 = 2,448.42 : x
  2. Step 2: Convert to fraction form
    4,646.35/6,962.23 = 2,448.42/x
  3. Step 3: Cross multiply
    4,646.35x = 6,962.23 × 2,448.42
  4. Step 4: Simplify right side
    4,646.35x = 17,046,463.18
  5. Step 5: Solve for x
    x = 17,046,463.18/4,646.35
  6. Step 6: Final answer
    x = 3,668.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.